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Finding the Fourth Proportional to 13,785.40, 19,023.49 and 7,817.05

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Solution

The fourth proportional to 13,785.40, 19,023.49 and 7,817.05 is: 10,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.40 : 19,023.49 = 7,817.05 : x
  2. Step 2: Convert to fraction form
    13,785.40/19,023.49 = 7,817.05/x
  3. Step 3: Cross multiply
    13,785.40x = 19,023.49 × 7,817.05
  4. Step 4: Simplify right side
    13,785.40x = 148,707,572.50
  5. Step 5: Solve for x
    x = 148,707,572.50/13,785.40
  6. Step 6: Final answer
    x = 10,787.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.